100887024 has 80 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 28412160.

The previous prime is 100887023. The next prime is 100887043. The reversal of 100887024 is 420788001.

It is a super-2 number, since 2×100887024² = 20356383223153152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100886982 and 100887000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100887023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21742 + ... + 25970.

It is an arithmetic number, because the mean of its divisors is an integer number (3776544).

Almost surely, 2^100887024 is an apocalyptic number.

100887024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100887024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

100887024 is an abundant number, since it is smaller than the sum of its proper divisors (201236496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100887024 is a wasteful number, since it uses less digits than its factorization.

100887024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 100887024 is about 10044.2532823501. The cubic root of 100887024 is about 465.5272456318.

The spelling of 100887024 in words is "one hundred million, eight hundred eighty-seven thousand, twenty-four".